Symmetry of C_{60} and a Force Constant Model for Vibrational Modes

Authors: Ramazan KOÇ, Hayriye TÜTÜNCÜLER

Abstract: A force-constant model for the vibrational modes in $C_{60}$ is presented. The Keating type potential is adopted for calculating the dynamical matrix. Using symmetries of the molecule, the dynamical matrix which yields the vibrational modes is block-diagonalized. We summarize the role of group theory in specifying the vibrational modes. The results are in excellent agreement with experiments. The effect of bond-stretching force constants on the vibrational modes will be presented.


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